Lesson Plans Math 2A

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Mutually Exclusive vs. Independent vs. Complementary

Mutually Exclusive Events If event A happens, then event B cannot, or vice-versa.
Independent Events The outcome of event A has no effect on the outcome of event B.
Complementary Events If the two events are the only possible outcomes, they are complementary. The outcome is either A or B only.
  • If A and B are mutually exclusive, they cannot be independent.
    Flip heads/Flip tails
  • If A and B are independent, they cannot be mutually exclusive.
    Roll a 3/Flip tails
  • If A and B are complementary, they cannot be independent.
    Flip heads/Flip tails either-or
  • If A and B are complementary, they are mutually exclusive
    Flip heads OR Flip tails

12/10/2007 Math 2a
1. HOMEWORK Due today: None
2 Finish P7 Prob. 1.2
3. Measure Drill w/sheet  Measure Units Ladder
4. Page 8 Problem 1.3 'Making Purple'

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Page 8 Problem 1.3 'Making Purple' NOTES: HOMEWORK:

12/11/2007 Math 2a
1. HOMEWORK Due today: None
2. Measure Drill w/sheet  Measure Units Ladder
3. Finish Page 8 Problem 1.3 'Making Purple'
4. P10ff Problem 1.4 "making counting trees' + Follow-Up

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Page 8 Problem 1.3 'Making Purple' finish and start on P10ff Problem 1.4 "making counting trees' + Follow-Up. The primary emphasis of this lesson is to make a counting tree to determine the number of outcomes. NOTES: HOMEWORK: TBA

12/12/2007 Math 2a
1. HOMEWORK Due today: TBA
2. Measure Drill w/sheet  Measure Units Ladder
3. Pp17 ff 12-18
4. Make-Up Credit* P164 Additional Practice Inv 1 (2cr)

OBJECTIVE:1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Pp17 ff 12-18 - students will work with assigned partners to solve these problems based on fair games and counting outcomes. NOTES: HOMEWORK: Page 21 1a and 2a

12/13/2007 Math 2a
1. HOMEWORK Due today: Page 21 1a and 2a
2. Measure Drill w/sheet  Measure Units Ladder
3. Pp17 ff 12-18

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Pp17 ff 12-18; students will work with partners to complete this set of problems (scoring stations?) Probably a 2 day exercise NOTES: HOMEWORK: remainders

12/14/2007 Math 2a
1. HOMEWORK Due today: Remainders Pp17 ff 12-18
2. Measure Drill w/sheet  Measure Units Ladder
3. P 10-12 Prob 1.4 all

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: P 10-12 Prob 1.4 all - lesson deals with counting trees. Follow up with the fundamental counting principle. NOTES: HOMEWORK:

  

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